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Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces

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Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces

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Bonet Solves, JA.; Mengestie, T.; Worku, M. (2019). Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces. Results in Mathematics. 74(4):1-15. https://doi.org/10.1007/s00025-019-1123-7

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Título: Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces
Autor: Bonet Solves, José Antonio Mengestie, Tesfa Worku, Mafuz
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Various dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We ...[+]
Palabras clave: Generalized Fock spaces , Power bounded , Uniformly mean ergodic , Volterra-type integral operator , Differential operator , Hardy operator , Supercyclic , Hypercyclic , Cyclic , Ritt's resolvent condition
Derechos de uso: Reserva de todos los derechos
Fuente:
Results in Mathematics. (issn: 1422-6383 )
DOI: 10.1007/s00025-019-1123-7
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00025-019-1123-7
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/
Agradecimientos:
J. Bonet was partially supported by the research projects MTM2016-76647-P and GV Prometeo 2017/102 (Spain). M. Worku is supported by ISP project, Addis Ababa University, Ethiopia.
Tipo: Artículo

References

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